Solve -6x+3less than equal to 21
1 answer:
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Answer:
See explanation
Step-by-step explanation:
You have to graph the system of inequalities presented as
Part A:
1. Draw a dotted line (dotted because the sign < is without notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:
Since this inequlity is false, the origin doesn't belong to the shaded region, so you have to shade that part which doesn't contain origin (red part in attached diagram).
2. Draw a solid line (solid because the sign ≥ is with notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:
Since this inequlity is true, the origin belongs to the shaded region, so you have to shade that part which contains origin (blue part in attached diagram).
The intersection of these two regions is the solution area.
Part B:
Plot point (-2,-2). Since this point doesn't belong to the solution area, this is not a solution of the system of two inequalities. You can check it mathematically - substitute x=-2 and y=-2 into the system:
Both inequalities are false, so (-2,-2) doesn't belong to the solution area.
Take some points
- 2x+3y<6
- 3y<-2x+6
- y<-2/3x+2
As here < sign present line will be dashed and shading should be done below the line
So
- (1,1)
- (1,0)
- (2,0)
- (-1,2)
Graph attached
